-9x2 +17x -8 = 0

ax2 bx c = 0

a = -9

b = 17

c = -8

Δ = b2-4ac

Δ = 17² - (4 * -9 * -8)

Δ = 289 - (4*72)

Δ = 289 - (288)

Δ = 1      Δ > 0

-9x2+17x-8=0

x = -b ∓ √Δ 2a

x' = -17 - √1 2*-9 = -17 - 1.0 -18 = -18.0 -18 = 1.0

x" = -17 + √1 2*-9 = -17 + 1.0 -18 = -16.0 -18 = 0.888888888889

x' = 81.0

x" = 72.0

S = {x ∈ R / x' = 81.0, x" = 72.0 }